CN104392130A - Method for determining multi-axis fatigue most damage load direction and application thereof - Google Patents
Method for determining multi-axis fatigue most damage load direction and application thereof Download PDFInfo
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- CN104392130A CN104392130A CN201410677398.2A CN201410677398A CN104392130A CN 104392130 A CN104392130 A CN 104392130A CN 201410677398 A CN201410677398 A CN 201410677398A CN 104392130 A CN104392130 A CN 104392130A
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Abstract
The invention discloses a method for determining the multi-axis fatigue most damage load direction. The method comprises a step (S1) of determining specific points and searching space on the surface of a unit, and determining stress and strain tensor process of the specific points under each search coordinate system in the searching space; a step (S2) of adopting a fatigue algorithm to calculate accumulated damage or safety factors of the specific points under each search coordinate system according to the stress and strain tensor process determined in the step (S1); a step (S3) of comparing the accumulated damage or safety factors of all the search coordinate systems, and causing the direction of the corresponding load with the maximum accumulated damage or minimum safety factor to be output to be the most damage load direction. The method can determine the most damage load direction of the unit, reduce searching blindness and calculated amount and improve searching speed.
Description
Technical field
The present invention relates to the defining method damaging loading direction most, be specifically related to the defining method damaging loading direction most of non-proportional loading.
Background technology
Because structure itself bears the synchronous of multiaxis combined load or asynchronous effect, or structure itself is complex-shaped, even if make still to there will be multi-axis stress state in the stressed lower local of single shaft, so in Practical Project, disproportional non-proportional loading is a kind of general phenomenon.For disproportional multiaxial loading, principle stress often changes in time, thus causes the direction of fatigue damage not easily to be found.Effective strain method in existing non-proportional loading analytical approach, energy method have ignored the directivity of fatigue damage, critical surface method is to bear the plane of maximum shear strain for critical plane, the method thinks that circulation shear strain in maximum shear strain plane and normal direction normal strain are the factors causing fatigue damage, although consider the dangerous surface causing damage, but for the situation of circulate in load history shear strain and the direction random fluctuation of normal direction normal strain, cannot provide and damage direction most.Do not meet for those situation that maximum shear strain is critical plane, this critical plane approach cannot be suitable for simultaneously.
Summary of the invention
Goal of the invention: the object of the invention is for the deficiencies in the prior art, provides the direction of accurately location disproportional Multiaxial damages, adapts to the defining method damaging loading direction most of the non-proportional loading of stressed random fluctuation situation.
Technical scheme: the defining method damaging loading direction most of non-proportional loading of the present invention, carry out as follows:
S1, in cell surface determination specified point and search volume, and determine the stress of described specified point in described search volume under each searching coordinates system, strain tensor course;
S2, tired algorithm is adopted to calculate the accumulated damage of described specified point under each searching coordinates system or safety coefficient according to the stress and strain tensor course determined in step S1;
The accumulated damage of S3, more all searching coordinates systems or safety coefficient, direction that is accumulated damage is maximum or the minimum corresponding load of safety coefficient exports as to damage loading direction most.
Being further defined to of technical solution of the present invention, when searching for the free face of unit, in step S1, the specified point determined is the central point of each free face, and the search volume determined is determine according to predetermined region of search and search density.
Further, when the free face of unit is searched for, as follows to the calculation procedure of the stress of each free face central point, strain tensor course in step S1:
The surving coordinate system o-xyz of Zy1, extraction free face central point, and the ess-strain course of free face central point under described surving coordinate system, determine the ess-strain tensor of each course point free face central point in surving coordinate system;
Zy2, determine search volume: extract the region of search parameter θ and Δ θ that preset, and search density parameter Δ α, form search volume o-x_s-x_e, wherein to be o-xyz coordinate system turn around z-axis the search starting position coordinates axle that θ angle obtains at o point for x_s, y_s, to be o-x_s, y_s, z_s coordinate system turn around z-axis the search final position coordinate axis that Δ θ angle obtains at o point for x_e, y_e, search volume be with o-x_s and o-x_e for border, with Δ α N number of coordinate series that is increment;
The direction cosine of Zy3, calculating each coordinate system of search volume and each axle of surving coordinate system;
Zy4, the stress of calculating center, free face under the n-th searching coordinates system, strain tensor course.
Further, when searching for the given side of unit, in step S1, the specified point determined is the arbitrfary point in given side, and the search volume determined is for determine according to search face, region of search and search density.
Further, when the given side of unit is searched for, as follows to the calculation procedure of the stress of specified point, strain tensor course in step S1:
The original coordinate system of Zd1, extraction specified point o, and the ess-strain course of specified point o under original coordinate system, determine that in each course, specified point o is at the ess-strain tensor of this original coordinate system;
Zd2, determine search volume: extract given side coordinate system o-xyz as surving coordinate system, according to the region of search parameter θ preset and Δ θ, and search density parameter Δ α, form search volume o-x_s-x_e, wherein to be o-xyz coordinate system turn around z-axis the search starting position coordinates axle that θ angle obtains at o point for x_s, y_s, x_e, y_e are o-x_s, y_s, z_s coordinate system turns around z-axis the search final position coordinate axis that Δ θ angle obtains at o point, search volume be with o-x_s and o-x_e for border, with Δ α N number of coordinate series that is increment;
Zd3, calculate the direction cosine of search volume each searching coordinates system and each axle of original coordinate system;
Zd4, the ess-strain tensor course of calculating o point under the n-th searching coordinates system.
Beneficial effect: the defining method damaging loading direction most of non-proportional loading provided by the invention, by the accumulated damage of all searching coordinates systems of tired algorithm computing unit or safety coefficient, the most damage loading direction of effective determining unit; Meanwhile, the present invention can select search face, improves the dirigibility of search; The damage field setting that the present invention is controlled, reduces the blindness of search, reduces calculated amount, improve search speed, and meanwhile, controlled search density setting, can select fast search or high precision search according to search density; It is strong that the present invention is suitable for ability, has very important effect for the fatigue endurance performance in structural crack germinating stage and modified node method design.
Accompanying drawing explanation
The process flow diagram damaging most the localization method in direction of the unit free face non-proportional loading that Fig. 1 provides for embodiment 1;
The process flow diagram damaging most the localization method in direction of the unit given side non-proportional loading that Fig. 2 provides for embodiment 2;
Fig. 3 be in embodiment 1 each course point free face central point at the coordinate system schematic diagram of the ess-strain tensor of surving coordinate system;
Fig. 4 is the coordinate system schematic diagram of the direction cosine of each axle of each coordinate system of search volume and surving coordinate system in embodiment 1.
Embodiment
Below by accompanying drawing, technical solution of the present invention is described in detail, but protection scope of the present invention is not limited to described embodiment.
The actual phenomenon in surface is often germinated according to the crackle of structure, the search of controlled setting is carried out at Free Surface, by scanning the damage accumulation of region of search, provide the Impact direction of " damaging most ", provide the search of structure optional position arbitrary plane simultaneously, can find the most damage direction of optional position in structure, " damage " direction has very important effect for the fatigue endurance performance and modified node method design understanding crack initiation stage structures.
The present invention applies tired algorithm, provides the defining method damaging loading direction most of non-proportional loading, carries out as follows:
S1, in cell surface determination specified point and search volume, and determine the stress of described specified point in described search volume under each searching coordinates system, strain tensor course;
S2, tired algorithm is adopted to calculate the accumulated damage of described specified point under each searching coordinates system or safety coefficient according to the stress and strain tensor course determined in step S1;
The accumulated damage of S3, more all searching coordinates systems or safety coefficient, direction that is accumulated damage is maximum or the minimum corresponding load of safety coefficient exports as to damage loading direction most.
The location damaging most direction of carrying out non-proportional loading below in conjunction with the free face of unit and given side is described in detail respectively.
Embodiment 1:
The present embodiment is searched for for the free face of unit, and as shown in Figure 1, concrete steps are as follows for its process flow diagram:
S1, in cell surface determination specified point and search volume, and determine the stress of described specified point in described search volume under each searching coordinates system, strain tensor course;
When searching for the free face of unit, in step S1, the specified point determined is the central point of each free face, and the search volume determined is determine according to predetermined region of search and search density.
As follows to the calculation procedure of the stress of each free face central point, strain tensor course:
The surving coordinate system o-xyz of Zy1, extraction free face central point, and the ess-strain course of free face central point under described surving coordinate system, determine the ess-strain tensor of each course point free face central point in surving coordinate system.
Ess-strain course is as shown in table 1:
Table 1:
Each course point free face central point the ess-strain tensor of surving coordinate system coordinate system schematic diagram as shown in Figure 3.
Zy2, determine search volume: extract the region of search parameter θ and Δ θ that preset, and search density parameter Δ α, form search volume o-x_s-x_e, wherein to be o-xyz coordinate system turn around z-axis the search starting position coordinates axle that θ angle obtains at o point for x_s, y_s, to be o-x_s, y_s, z_s coordinate system turn around z-axis the search final position coordinate axis that Δ θ angle obtains at o point for x_e, y_e, search volume be with o-x_s and o-x_e for border, with Δ α N number of coordinate series that is increment;
The direction cosine of Zy3, calculating each coordinate system of search volume and each axle of surving coordinate system, all directions cosine is as shown in table 2, and its coordinate system schematic diagram as shown in Figure 4.
Table 2:
| Included angle cosine | X | y | z |
| x_n | Ln11 | Ln12 | Ln13 |
| y_n | Ln21 | Ln22 | Ln23 |
| z_n | Ln31 | Ln32 | Ln33 |
With the n-th searching coordinates be example, direction cosine are as shown in table 3:
Zy4, the stress of calculating center, free face under the n-th searching coordinates system, strain tensor course, as shown in table 4:
Table 4:
S2, tired algorithm is adopted to calculate the accumulated damage Damage of described specified point under each searching coordinates system or safety coefficient Safety factor according to the stress and strain tensor s_n course determined in step S1.
Under having judged whether all searching coordinates systems, the corresponding fatigue behaviour of ess-strain course institute calculates, if do not had, repeats above-mentioned steps, until the corresponding fatigue behaviour of ess-strain course institute calculates under completing all searching coordinates systems.
The accumulated damage Damage of S3, more all searching coordinates systems or safety coefficient Safety Factor, exports y_n direction corresponding for searching coordinates system that is maximum for accumulated damage Damage or the minimum corresponding load of safety coefficient Safety Factor as to damage loading direction most.
Embodiment 2:
The present embodiment is searched for for the given side of unit, and as shown in Figure 2, concrete steps are as follows for its process flow diagram:
S1, determine specified point and search volume on the surface of unit, and determine the stress of described specified point in described search volume under each searching coordinates system, strain tensor course.
The specified point determined is the arbitrfary point in given side, and the search volume determined is for determine according to search face, region of search and search density.
As follows to the calculation procedure of the stress of specified point, strain tensor course:
The original coordinate system of Zd1, extraction specified point o, and the ess-strain course of specified point o under original coordinate system, determine that in each course, specified point o is at the ess-strain tensor of this original coordinate system.
In each course, this is as shown in table 5 at the ess-strain tensor of this original coordinate system:
Table 5:
Zd2, determine search volume: extract given side coordinate system o-xyz as surving coordinate system, according to the region of search parameter θ preset and Δ θ, and search density parameter Δ α, form search volume o-x_s-x_e, wherein to be o-xyz coordinate system turn around z-axis the search starting position coordinates axle that θ angle obtains at o point for x_s, y_s, x_e, y_e are o-x_s, y_s, z_s coordinate system turns around z-axis the search final position coordinate axis that Δ θ angle obtains at o point, search volume be with o-x_s and o-x_e for border, with Δ α N number of coordinate series that is increment.
Zd3, calculate the direction cosine of search volume each searching coordinates system and each axle of original coordinate system, as shown in table 6:
Table 6:
| Included angle cosine | xn | yn | zn |
| 11 | 12 | 13 | |
| 21 | 22 | 23 | |
| 31 | 32 | 33 |
Zd4, the stress of calculating o point under the n-th searching coordinates system, strain tensor course, as shown in table 7:
Table 7:
S2, tired algorithm is adopted to calculate the accumulated damage Damage of described specified point under each searching coordinates system or safety coefficient Safety factor according to the stress and strain tensor s_n course determined in step S1.
Under having judged whether all searching coordinates systems, the corresponding fatigue behaviour of ess-strain course institute calculates, if do not had, repeats above-mentioned steps, until the corresponding fatigue behaviour of ess-strain course institute calculates under completing all searching coordinates systems.
The accumulated damage Damage of S3, more all searching coordinates systems or safety coefficient Safety Factor, exports y_n direction corresponding for searching coordinates system that is maximum for accumulated damage Damage or the minimum corresponding load of safety coefficient Safety Factor as to damage loading direction most.
As mentioned above, although represented with reference to specific preferred embodiment and described the present invention, it shall not be construed as the restriction to the present invention self.Under the spirit and scope of the present invention prerequisite not departing from claims definition, various change can be made in the form and details to it.
Claims (5)
1. the defining method damaging most loading direction of non-proportional loading, is characterized in that, carries out as follows:
S1, in cell surface determination specified point and search volume, and determine the stress of described specified point in described search volume under each searching coordinates system, strain tensor course;
S2, tired algorithm is adopted to calculate the accumulated damage of described specified point under each searching coordinates system or safety coefficient according to the stress and strain tensor course determined in step S1;
The accumulated damage of S3, more all searching coordinates systems or safety coefficient, direction that is accumulated damage is maximum or the minimum corresponding load of safety coefficient exports as to damage loading direction most.
2. the defining method damaging most loading direction of non-proportional loading according to claim 1, it is characterized in that, when the free face of unit is searched for, in step S1, the specified point determined is the central point of each free face, and the search volume determined is determine according to predetermined region of search and search density.
3. the defining method damaging most loading direction of non-proportional loading according to claim 2, is characterized in that, when searching for the free face of unit, as follows to the calculation procedure of the stress of each free face central point, strain tensor course in step S1:
The surving coordinate system o-xyz of Zy1, extraction free face central point, and the ess-strain course of free face central point under described surving coordinate system, determine the ess-strain tensor of each course point free face central point in surving coordinate system;
Zy2, determine search volume: extract the region of search parameter θ and Δ θ that preset, and search density parameter Δ α, form search volume o-x_s-x_e, wherein to be o-xyz coordinate system turn around z-axis the search starting position coordinates axle that θ angle obtains at o point for x_s, y_s, to be o-x_s, y_s, z_s coordinate system turn around z-axis the search final position coordinate axis that Δ θ angle obtains at o point for x_e, y_e, search volume be with o-x_s and o-x_e for border, with Δ α N number of coordinate series that is increment;
The direction cosine of Zy3, calculating each coordinate system of search volume and each axle of surving coordinate system;
Zy4, the stress of calculating center, free face under the n-th searching coordinates system, strain tensor course.
4. the defining method damaging most loading direction of non-proportional loading according to claim 1, it is characterized in that, when the given side of unit is searched for, in step S1, the specified point determined is the arbitrfary point in given side, and the search volume determined is for determine according to search face, region of search and search density.
5. the defining method damaging most loading direction of non-proportional loading according to claim 4, is characterized in that, when searching for the given side of unit, as follows to the calculation procedure of the stress of specified point, strain tensor course in step S1:
The original coordinate system of Zd1, extraction specified point o, and the ess-strain course of specified point o under original coordinate system, determine that in each course, specified point o is at the ess-strain tensor of this original coordinate system;
Zd2, determine search volume: extract given side coordinate system o-xyz as surving coordinate system, according to the region of search parameter θ preset and Δ θ, and search density parameter Δ α, form search volume o-x_s-x_e, wherein to be o-xyz coordinate system turn around z-axis the search starting position coordinates axle that θ angle obtains at o point for x_s, y_s, x_e, y_e are o-x_s, y_s, z_s coordinate system turns around z-axis the search final position coordinate axis that Δ θ angle obtains at o point, search volume be with o-x_s and o-x_e for border, with Δ α N number of coordinate series that is increment;
Zd3, calculate the direction cosine of search volume each searching coordinates system and each axle of original coordinate system;
Zd4, the ess-strain tensor course of calculating o point under the n-th searching coordinates system.
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| CN111079320A (en) * | 2018-10-19 | 2020-04-28 | 上海天纳克排气系统有限公司 | Virtual road spectrum simulation analysis method of exhaust system |
| CN111398019A (en) * | 2020-04-22 | 2020-07-10 | 中国科学院武汉岩土力学研究所 | Method for rapidly judging relative size of rock damage under loads with different strain rates |
| CN111950101A (en) * | 2020-08-07 | 2020-11-17 | 中铁轨道交通装备有限公司 | Tensor-based multi-axial fatigue analysis method |
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| CN111079320B (en) * | 2018-10-19 | 2023-02-21 | 上海天纳克排气系统有限公司 | Virtual road spectrum simulation analysis method of exhaust system |
| CN110705137A (en) * | 2019-08-22 | 2020-01-17 | 中车青岛四方机车车辆股份有限公司 | Stress amplitude and mean value determining method and device |
| CN110705137B (en) * | 2019-08-22 | 2023-04-21 | 中车青岛四方机车车辆股份有限公司 | Method and device for determining stress amplitude and mean value |
| CN111398019A (en) * | 2020-04-22 | 2020-07-10 | 中国科学院武汉岩土力学研究所 | Method for rapidly judging relative size of rock damage under loads with different strain rates |
| CN111950101A (en) * | 2020-08-07 | 2020-11-17 | 中铁轨道交通装备有限公司 | Tensor-based multi-axial fatigue analysis method |
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